Will my radiated breast drop? (Photo)

Radiation and implants have a known history of contracture; I  would review with your breast reconstructive surgeon regarding options.. 

No, it will not drop enough to be symmetric with the right side.  The left side may actually contract more over time.You can try to expand the left, make it larger with more ptosis, or you can add skin with a small DIEP flap or latissimus flap.  

Sorry to learn of your disappointment regarding asymmetry. Radiation will always result in a tighter more elevated side. There are many ways to deal with this but if the radiated side is acceptable, it is generally easier to alter the non-radiated breast to make it appear more even with the radiated side. 
It appears that you are in good hands with your plastic surgeon. Discuss your concerns and options with him or her. 

You are only a month out so there is still the potential for the radiated side to "relax" and settle. With that being said, Your radiated side will likely remain higher than the non radiated side. In the photos, your non-radiated side looks larger and the inframammary fold appears lower. Both of those difference can be adjusted in improve symmetry if you desired. Hope this helps.

The radiation treatment is a great for local control of cancer.  Unfortunately there are associate changes in the skin and surrounding tissues.  If the implant is already in a higher position and tight it will most likely not change.

You are still very early in your post op course.  But your radiated side will always be tighter and likely a little higher.  If it gets any worse, you may be a candidate for autologous tissue reconstruction.  Best wishes.